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Finding the Fourth Proportional to 513.42, 772.88 and 460.50

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Solution

The fourth proportional to 513.42, 772.88 and 460.50 is: 693.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.42 : 772.88 = 460.50 : x
  2. Step 2: Convert to fraction form
    513.42/772.88 = 460.50/x
  3. Step 3: Cross multiply
    513.42x = 772.88 × 460.50
  4. Step 4: Simplify right side
    513.42x = 355,908.94
  5. Step 5: Solve for x
    x = 355,908.94/513.42
  6. Step 6: Final answer
    x = 693.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.